Need help with both questions? dyA recent report by a country's census predicts that the population will increase from 31.9 million in 2000 to 111.4 million in 2020. Assuming the unlimited growth model= ky fits this population growth, express thedtpopulation y as a function of the year t. Let 2000 correspond to t= 0.dy= ky, with an initial condition of y(0) = yo and constant k is y = Yo ektThe solution to the differential equationdt(Type an exact answer in terms of e.)Write the final equation for y, in millions of people, using the specific values given.y=D(Type an exact answer in terms of e. Round to five decimal places as needed.)

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dy = ky fits this population growth, express the dt A recent report by a country's census predicts that the population will increase from 31.9 million in 2000 to 111.4 million in 2020. Assuming the unlimited growth model population y as a function of the year t. Let 2000 correspond to t= 0. dy The solution to the differential equation = ky, with an initial condition of y(0) = yo and constant k is y = yo e kt dt (Type an exact answer in terms of e.) Write the final equation for y, in millions of people, using the specific values given. y= (Type an exact answer in terms of e. Round to five decimal places as needed.)

dy = ky fits this population growth, express the dt A recent report by a country's census predicts that the population will increase from 31.9 million in 2000 to 111.4 million in 2020. Assuming the unlimited growth model population y as a function of the year t. Let 2000 correspond to t= 0. dy The solution to the differential equation = ky, with an initial condition of y(0) = yo and constant k is y = yo e kt dt (Type an exact answer in terms of e.) Write the final equation for y, in millions of people, using the specific values given. y= (Type an exact answer in terms of e. Round to five decimal places as needed.)

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Need help with both questions?

dy
A recent report by a country's census predicts that the population will increase from 31.9 million in 2000 to 111.4 million in 2020. Assuming the unlimited growth model
= ky fits this population growth, express the
dt
population y as a function of the year t. Let 2000 correspond to t= 0.
dy
= ky, with an initial condition of y(0) = yo and constant k is y = Yo e
kt
The solution to the differential equation
dt
(Type an exact answer in terms of e.)
Write the final equation for y, in millions of people, using the specific values given.
y=D
(Type an exact answer in terms of e. Round to five decimal places as needed.)

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